If the volume of this prism is $500 c m^{3}$ what will be the side length (in cm) of the indiviual small cubes?

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Solution

Volume of the prism $= 500 c m^{3}$

This prism comprises of $4$ individual cubes;
so the volumes of the indiviual cubes $= \frac{500}{4} = 125 c m^{3}$

Volume of the cube $= s^{3} = 125 c m^{3}$ , where $s$ is the side length of the cubes.

$∴$ length of side of indiviual cubes $= \sqrt[3]{125} = 5 c m$

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If the volume of this prism is 500 cm3 what will be the side length (in cm) of the indiviual small cubes?

Volume of the prism =500 cm3 This prism comprises of 4 individual cubes; so the volumes of the indiviual cubes =5004=125 cm3 Volume of the cube =s3=125 cm3, where s is the side length of the cubes. ∴ length of side of indiviual cubes =3√125=5 cm

If the volume of this prism is $500 c m^{3}$ what will be the side length (in cm) of the indiviual small cubes?